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A Cauchy integral formula for a class of elliptic systems of partial differential equations of first order in the space

✍ Scribed by Bernd Goldschmidt

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
451 KB
Volume
108
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJU‐representation for elliptic systems of partial differential equations of first order in R^n^, which may be described with the help of a CLIFFORD‐algebra. Moreover we study properties of the fundamental kernels and jump‐integrals.

πŸ“œ SIMILAR VOLUMES

Existence and representation of solution
Existence and representation of solutions of a class of elliptic systems of partial differential equations of first order in the space
✍ Bernd Goldschmidt πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 293 KB πŸ‘ 1 views

## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra 𝔄. We construct an integral representation and discuss the properties of the kernels.